Renormalizable toy model of massive spin-two field and new bigravity

Ohara, Yuichi; Akagi, Satoshi; Nojiri, Shin’ichi

doi:10.1103/physrevd.90.043006

Cited by 8 publications

(10 citation statements)

References 104 publications

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“…The ghost-free interaction in the massive gravity might be generalized to add new interaction terms without generating any ghost mode. New models with derivative and non-derivative interaction terms have been proposed [21][22][23][24][25]. There is also another extension that modifies the kinetic term of the gravitational action.…”

Section: Introductionmentioning

confidence: 99%

Anti-Evaporation of Black Holes in Bigravity

Katsuragawa

2015

Universe

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We review properties of solutions in bigravity theory for a specific case where two metric tensors, g µν and f µν , satisfy proportional relation f µν = C 2 g µν . For this condition, we find that the solutions describing the asymptotically de Sitter space-time can be obtained and investigate the perturbation around the Schwarzschild-de Sitter solutions and corresponding anti-evaporation. We discuss the stability under special perturbations related to the anti-evaporation and the importance of the non-diagonal components of the metric in bigravity.

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Section: Introductionmentioning

confidence: 99%

Anti-Evaporation of Black Holes in Bigravity

Katsuragawa

2015

Universe

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“…(9) and the constraints (8). Thus, by using the conservation of ϕ ð1Þ ν , we obtain the condition ϕ ð2Þ ν ¼ 0, which is identical with (14) without tedious calculations. Now, the primary constraints (8) can be regarded as the condition only on the initial values.…”

Section: Pseudolinear Theory On Flat Spacementioning

confidence: 84%

“…The primary constraints hold automatically thanks to the conditions for the conservation of the constraints in time ϕ ð2Þ ν ¼ 0. Because, however, ϕ ð2Þ ν ¼ 0 is the equation including only the firstorder differential equation with respect to the time, we have to change the equations in (14), which is defined by the strong equality ¼ to the equations defined by the weak equality ≈, and we regard ϕ ð2Þ ν as secondary constraints ϕ ð2Þ ν ≈ 0. In order to derive the conditions for the conservation of the constraints, we use one more relation:…”

Section: Pseudolinear Theory On Flat Spacementioning

confidence: 99%

“…In Ref. [14], a new model of massive spin-two particles was proposed by adding the terms in (2) and (3) to the Fierz-Pauli Lagrangian in (1):…”

Section: New Model Of Massive Spin-two Particlementioning

confidence: 99%

“…It was shown that the leading term of the potential in the dRGT is also ghost-free as for the Fierz-Pauli theory. Based on this discussion, we constructed a new massive spin-two model [14] which contains a kinetic term and potential terms only.…”

Section: Introductionmentioning

confidence: 99%

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New massive spin two model on a curved spacetime

2014

Self Cite

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We have proposed a new ghost-free model with interactions of massive spin-two particles in Phys. Rev. D 90, 043006 (2014). Although the model is ghost-free on the Minkowski spacetime, it is not obvious whether or not this desirable property is preserved on curved spacetime. In fact, Buchbinder et al. already pointed out that the Fierz-Pauli theory is not ghost-free on curved spacetime without nonminimal coupling terms. In this paper, we construct a new theory of massive spin-two particles with nonminimal coupling on curved spacetime and show that the model can be ghost-free. Furthermore, we propose new nonminimal coupling terms.

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Effective spin-2 quasi-particles at linear dispersive five-fold degenerate points with tunable topological Chern numbers

et al. 2019

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In this work, which is based on spin-2 vectors and traceless spin-2 tensors, an effective Hamiltonian is constructed with a linearly dispersive five-fold degenerate point with spin-2 vector-momentum couplings. For the model without spin-2 vector-tensor coupling, the topological Chern numbers of five bands are calculated as 4, 2, 0, -2, -4. After including spin-2 vector-tensor coupling, separate topological Chern numbers are obtained for different couplings. A cubic lattice of atoms with five internal states is designed to realize two five-fold degenerate points.The Chern numbers of the bands can be changed by tuning the coupling coefficient. In this work we propose a theoretical design to obtain spin-2 quasi-particles.

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Renormalizable toy model of massive spin-two field and new bigravity

Cited by 8 publications

References 104 publications

Anti-Evaporation of Black Holes in Bigravity

Anti-Evaporation of Black Holes in Bigravity

New massive spin two model on a curved spacetime

Effective spin-2 quasi-particles at linear dispersive five-fold degenerate points with tunable topological Chern numbers

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